论文信息 - Equilibrium states of Runge Kutta schemes

Equilibrium states of Runge Kutta schemes

Understanding the behavior of Runge-Kutta codes when stability considerations restrict the stepsize provides useful information for stiffness detection and other implementation details. Analysis of equilibrium states on test problems is presented which provides predictions and insights into this behavior. The implications for global error are also discussed.

George Hall | G. Hall

[1] L. Petzold. Automatic Selection of Methods for Solving Stiff and Nonstiff Systems of Ordinary Differential Equations , 1983 .

[2] Bengt Lindberg. Characterization of Optimal Stepsize Sequences for Methods for Stiff Differential Equations , 1977 .

[3] G. Hall,et al. A Single Code for the Solution of Stiff and Nonstiff ODE’s , 1985 .

[4] Lawrence F. Shampine. Stiffness and Nonstiff Differential Equation Solvers, II: Detecting Stiffness with Runge-Kutta Methods , 1977, TOMS.